alleryStart learning →The coefficient of $x$ in the expansion of $(1+2x)^5$ is:
- 10
- 32
- 5
- 20
Show answer and solution
Correct answer: A. 10
T_{r+1}=C(5,r)(2x)^r; coefficient of x is C(5,1)·2 = 10.
Indian Navy INET Binomial Theorem — practice questions
Explore 74 free Binomial Theorem questions in Indian Navy INET Mathematics. Open each question or exercise to read its content, reference answers and available explanation.
Practise Binomial Theorem with Quill →Binomial Theorem questions and exercises with answers
Showing questions 1–30 of 74.
The coefficient of $x$ in the expansion of $(1+2x)^5$ is:Read the answer and worked solution →If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:Read the answer and worked solution →The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:Read the answer and worked solution →What are the coordinates of the origin?Read the answer and worked solution →Are the points A(1, 1), B(2, 3), C(3, 5) collinear?Read the answer and worked solution →Sort each inverse function into its domainRead the answer and worked solution →Tap every function whose domain is [−1, 1]Read the answer and worked solution →Match each inverse function to its domainRead the answer and worked solution →Match each inverse function to its principal value branchRead the answer and worked solution →Flip and pair: function with its principal rangeRead the answer and worked solution →Which principal ranges sit around zero, and which run 0 to π?Read the answer and worked solution →Tap every function whose principal range has a point removedRead the answer and worked solution →Name the principal value branchRead the answer and worked solution →Domain checkRead the answer and worked solution →Put the reasoning in order: why an inverse needs a restricted domainRead the answer and worked solution →True or false: existence of inversesRead the answer and worked solution →True or false: reading the tableRead the answer and worked solution →Spot the one that does not belongRead the answer and worked solution →Two are true, one is notRead the answer and worked solution →Assertion and reasonRead the answer and worked solution →Complete the summary tableRead the answer and worked solution →Complete the rule about restricting a domainRead the answer and worked solution →Three of these are wrong. Find the one that holds.Read the answer and worked solution →Principal values worked in the chapterRead the answer and worked solution →Order the steps for finding a principal valueRead the answer and worked solution →True or false: principal valuesRead the answer and worked solution →Match each identity to the condition it needsRead the answer and worked solution →Assertion and reason: identitiesRead the answer and worked solution →Match each mathematician to the year your syllabus givesRead the answer and worked solution →Trace how trigonometry travelledRead the answer and worked solution →
Worked practice questions
If $P(A)=0.3$, $P(B)=0.4$ and A, B are mutually exclusive, then $P(A\cup B)$ is:
- 0.12
- 0.1
- 1.0
- 0.7
Show answer and solution
Correct answer: D. 0.7
For mutually exclusive events, P(A∪B) = P(A)+P(B) = 0.3+0.4 = 0.7.
The midpoint of the segment joining $(2,3)$ and $(4,7)$ is:
- (6, 10)
- (1, 2)
- (2, 4)
- (3, 5)
Show answer and solution
Correct answer: D. (3, 5)
((2+4)/2, (3+7)/2) = (3,5).
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